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CLASS AND RANK OF DIFFERENTIAL MODULES LUCHEZAR L. AVRAMOV, RAGNAR-OLAF BUCHWEITZ, AND
 

Summary: 



CLASS AND RANK OF DIFFERENTIAL MODULES



LUCHEZAR L. AVRAMOV, RAGNAR-OLAF BUCHWEITZ, AND
SRIKANTH IYENGAR


Abstract.A differential module is a module equipped with a square-zero
endomorphism. This structure underpins complexes of modules over rings,
as well as differential graded modules over graded rings. We establish l*
*ower
bounds on the class_a substitute for the length of a free complex_and on*
* the
rank of a differential module in terms of invariants of its homology. Th*
*ese re-

  

Source: Avramov, Luchezar L.- Department of Mathematics, University of Nebraska-Lincoln

 

Collections: Mathematics